Osculating behavior of Kummer surface in \mathbb P⁵

2017/10/05 by Emilia Mezzetti, Mezzetti, Emilia
Mathematics · #14J25 #14N05 #32J25 #53A20 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1710.01913

openalex publication_date 2017/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In an article of 1967 W. Edge gave a description of some beautiful geometric properties of the Kummer surface complete intersection of three quadrics in \mathbb P⁵. Working on it, R. Dye proved that all its osculating spaces have dimension less than the expected 5. Here we discuss these results, also at the light of some recent result about varieties with hypo-osculating behaviour.

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